What is the slope of the line passing through the points (−1, 7) and (4, −1)? a] -8/5 b] -5/6 c] 2 d] -2

choice A) -8/5

Work Shown:

Use the slope formula which basically says you subtract the y coordinates, then subtract the x coordinates in the same order, then you divide the results (reduce if possible)

m = (y2-y1)/(x2-x1)

m = (-1-7)/(4-(-1))

m = (-1-7)/(4+1)

m = -8/5

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17